The Fekete-Szego problem by a variational method
Author(s) -
Y.V. Borisova,
И. А. Колесников,
S. A. Kopanev,
G.D. Sadritdinova
Publication year - 2021
Publication title -
dal nevostochnyi matematicheskii zhurnal
Language(s) - English
Resource type - Journals
ISSN - 1608-845X
DOI - 10.47910/femj202112
Subject(s) - mathematics , boundary value problem , qualitative analysis , differential equation , boundary (topology) , calculus (dental) , mathematical analysis , qualitative research , sociology , medicine , social science , dentistry
The article is devoted to the well-known Fekete and Szego problem. The paper investigate the problem in sufficient detail using some new observations by the classical method of internal variations, developed at the Tomsk School of Complex Analysis. One particular case is considered. We carried out complete qualitative analysis of the functional-differential equation relative boundary mapping. We completely solved the problem for the real parameter.
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